document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126736>Question 126736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 17 and the sum of their square is 145.  Find the larger number.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92859 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Y-9)(Y-8)=0<BR>\n" );
document.write( "X+Y=17 OR X=17-Y<BR>\n" );
document.write( "X^2+Y^2=145<BR>\n" );
document.write( "(17-Y)^2+Y^2=145<BR>\n" );
document.write( "289-34Y+Y^2+Y^2=145<BR>\n" );
document.write( "2Y^2-34Y+289-145=0<BR>\n" );
document.write( "2Y^2-34Y+144=0<BR>\n" );
document.write( "2(Y^2-17X+72)=0<BR>\n" );
document.write( "2(Y-9)(Y-8)=0<BR>\n" );
document.write( "Y-9=0<BR>\n" );
document.write( "Y=9 ANSWER FOR THE LARGER NUMBER.<BR>\n" );
document.write( "Y=-8=0<BR>\n" );
document.write( "Y=8 ANSWER FOR THE SMALLER NUMBER.<BR>\n" );
document.write( "PROOF<BR>\n" );
document.write( "8^2+9^2=145<BR>\n" );
document.write( "64+81=145<BR>\n" );
document.write( "145=145 </SPAN>\n" );
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